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Simplifying (Z + 6)(z + 7) = 0 Reorder the terms: (6 + Z)(z + 7) = 0 Reorder the terms: (6 + Z)(7 + z) = 0 Multiply (6 + Z) * (7 + z) (6(7 + z) + Z(7 + z)) = 0 ((7 * 6 + z * 6) + Z(7 + z)) = 0 ((42 + 6z) + Z(7 + z)) = 0 (42 + 6z + (7 * Z + z * Z)) = 0 (42 + 6z + (7Z + zZ)) = 0 Reorder the terms: (42 + 7Z + 6z + zZ) = 0 (42 + 7Z + 6z + zZ) = 0 Solving 42 + 7Z + 6z + zZ = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 7Z + 6z + -42 + zZ = 0 + -42 Reorder the terms: 42 + -42 + 7Z + 6z + zZ = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7Z + 6z + zZ = 0 + -42 7Z + 6z + zZ = 0 + -42 Combine like terms: 0 + -42 = -42 7Z + 6z + zZ = -42 Add '-6z' to each side of the equation. 7Z + 6z + -6z + zZ = -42 + -6z Combine like terms: 6z + -6z = 0 7Z + 0 + zZ = -42 + -6z 7Z + zZ = -42 + -6z Reorder the terms: 42 + 7Z + 6z + zZ = -42 + -6z + 42 + 6z Reorder the terms: 42 + 7Z + 6z + zZ = -42 + 42 + -6z + 6z Combine like terms: -42 + 42 = 0 42 + 7Z + 6z + zZ = 0 + -6z + 6z 42 + 7Z + 6z + zZ = -6z + 6z Combine like terms: -6z + 6z = 0 42 + 7Z + 6z + zZ = 0 The solution to this equation could not be determined.
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